Solitons of the constrained Schrödinger equations

2025/04/08 by V. E. Vekslerchik, Vekslerchik, V. E. · 1 voice
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #nlin.SI

paper · pdf · doi:10.48550/arxiv.2504.05816

arxiv published 2025/04/08 · arxiv updated 2025/10/15

Abstract

We consider the linear vector Schrödinger equation subjected to quadratic constraints. We demonstrate that the resulting nonlinear system is closely related to the Ablowitz-Ladik hierarchy and use this fact to derive the N-soliton solutions for the discussed model. As an example of application of these results we present solitons of some vector nonlinear Schrödinger equation with gradient nonlinearity.

Discussions

• V. E. Vekslerchik: Solitons of the constrained Schr\"odinger equations https://arxiv.org/abs/2504.05816 https://arxiv.org/pdf/2504.05816 https://arxiv.org/html/2504.05816 [bsky, 0 points, 1 comments]

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